SOLUTION: May someone help me understand this problem. I have looked in my testbook and I can not find an example that can help me solve this problem. The question is: Solve the follo

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Question 6512: May someone help me understand this problem. I have looked in my testbook and I can not find an example that can help me solve this problem.
The question is:
Solve the following sysstem of equations by graphing:
y = x^2 - 4 and y = x - 2.
Thanks,
Angie
Answer by ichudov(507)   (Show Source): You can put this solution on YOUR website!

the graphs intersect in points where x and y values are the same for both functions. So we can write
x^2-4=x-2
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=2,x=-1.
  • Graphical form: Equation was fully solved.
  • Text form: x^2-4=x-2 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( x^2-4=x-2 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Moved these terms to the left highlight_green%28+-x+%29,highlight_green%28+2+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Moved -2 to the right of expression
It becomes .
Look at .
Removed extra sign in front of -2
It becomes .
Look at .
Equation highlight_red%28+x%5E2-x-2=0+%29 is a quadratic equation: x^2-x-2 =0, and has solutions 2,-1
It becomes .
Result:
This is an equation! Solutions: x=2,x=-1.

Universal Simplifier and Solver


Done!
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